pole
x-axis = polar axis
x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
The equation in Cartesian coordinates is x2 + y2 = 6 But much simpler are the polar coordinates: r = 6 and 0 ≤ q < 360 degrees.
The simplest formula, in polar coordinates, is r = 7.
The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain
True
absolute relative and polar coordinates definition
the equation that convert from cartesian to polar coordinates and vice versa r = sqrt (x*x+y*y); phi = atan2 (y, x); x = r*cos (phi); y = r*sin (phi);
If the polar coordinates of a point P are (r,a) then the rectangular coordinates of P are x = rcos(a) and y = rsin(a).
The y-intercept (or y-intercepts) of an equation is where x = 0. Replace x with zero in the equation, and solve for y.The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
Euler's equation of motion in spherical polar coordinates describes the dynamics of a rigid body rotating about a fixed point. It includes terms for the inertial forces, Coriolis forces, and centrifugal forces acting on the body. The equation is a vector equation that relates the angular acceleration of the body to the external torques acting on it.